1998 MAZDA PROTEGE Tires Problems

I WAS DRIVING ALONE MY 1998 MAZDA PROTEGE ALONG A LOCAL ROUTE IN TEWKSBURY MA IN LIGHT RAIN AT ABOUT 30-35 MPH WHEN A CAR A FEW CARS AHEAD OF ME MADE A QUICK STOP FOR A LEFT TURN. SEVERAL CAR BEHIND STOPPED WITHOUT PROBLEM, BUT I WAS NOT ABLE TO STOP AND SKID ALL THE WAY INTO THE CAR AT FRONT WHICH WAS A 2002 CAMRY. AT THE TIME THE CAR AT FRONT OF ME HIT THE BRAKE I TAPPED ON MY BRAKE ALMOST AT THE SAME TIME AND THERE WERE ABOUT 10 CAR LENGTH DISTANCE BETWEEN ME AND THE 2002 CAMRY THAT I HIT EVENTUALLY. THE TRACTION PROVIDED BY MY TIRES ARE EXTREMELY LOW ESPECIALLY IN WET. THE TIRES I WAS RIDING ON ARE 4 GOODYEAR INTEGRITY P175/70R13 THAT I INSTALLED IN MAY 2005 IN ALLIED TIRES AND SERVICE IN GAINESVILLE, FL 32607. I HAD ABOUT 40K MILES...

AT LOW SPEEDS OF 5 MPH, WHEN GOING DOWN A SLIGHT INCLINE,LIKE A DRIVEWAY, A PIECE OF METAL HIT THE ROAD AND THE FRONT END OF VEHICLE BOTTOMED OUT. DEALER COULD NOT FIND A PROBLEM WITH VEHICLE. ALSO, THE ORIGINAL PIRELLI TIRES WERE RATED AT 32 LBS. NOT GOOD ENOUGH TO PREVENT FRONT END OF CAR TO BE HIT WHEN GOING DOWN AN INCLINE AT 5 MPH. CHANGED TO YOKOHOMA TIRES 330 RADILAS TIRES 0F 35 LBS, SIDE WALLS MUCH STIFFER AN VEHICLE ROCKS SOLIDLY. *AK